Question:

The average score of a batsman after his 30th match was 25.5. After the 40th match, his average score increased by 3.2. What is his average score in the last ten matches?

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To find average of a part of data, subtract total sums and divide by number of parts.
Updated On: Jun 6, 2025
  • 38.3
  • 36.3
  • 40.3
  • 42.3
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The Correct Option is A

Solution and Explanation

Step 1: Understand given data
- Average after 30 matches = 25.5
- Average after 40 matches = 25.5 + 3.2 = 28.7
Step 2: Calculate total runs scored
- Total runs after 30 matches = 30 × 25.5 = 765
- Total runs after 40 matches = 40 × 28.7 = 1148
Step 3: Calculate runs in last 10 matches
Runs scored in last 10 matches = 1148 - 765 = 383
Step 4: Calculate average in last 10 matches
Average = Total runs in last 10 matches ÷ 10 = 383 ÷ 10 = 38.3
Thus, Option (A) 38.3 is correct.
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